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Enumeration of closest-packings by the space group: a simple approach
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Juan E. Iglesias
Veröffentlicht/Copyright:
25. September 2009
Abstract
The problem of enumerating the possible closest-packings of equal spheres having a period P for each of the possible space groups is solved by systematic exploitation of the properties of the two-color symmetry group of the cyclotomic representation of the Zhdanov symbol. No sophisticated combinatorial or group-theoretical techniques are required, and for some space groups, non-recursive, simple analytical expressions are obtained through the use of Möbius Inversion Formula. A corollary to Möbius theorem, used in the derivation, has been proved.
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Published Online: 2009-9-25
Published in Print: 2006-4-1
© by Oldenbourg Wissenschaftsverlag, München
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Artikel in diesem Heft
- Enumeration of closest-packings by the space group: a simple approach
- Crystal chemistry study of the solid solutions in the system La2BaZnO5—Eu2BaZnO5
- Uranyl oxalate hydrates: structures and IR spectra
- The crystal structure of ZSM-10, a powder X-ray and electron diffraction study
- The structure of the red-brown form of [Fe2(η5-C5H4Me)2(CO)(CN)(μ-CO)(μ-CNMe2)] and its confirmation as a cis isomer
- Crystal structure of silver salicylate C7H5AgO3 solved by reverse Monte-Carlo method from X-ray powder diffraction data and confirmed on single crystal
- Synthesis, crystal structure and magnetic behaviourof a mononuclear Fe(III) — Schiff base metal complex
- The molecular structure of 2-phenylbenzimidazole: a new example of incommensurate modulated intramolecular torsion
- Polymeric topologies in cadmium(II) dithiophosphate adducts of the isomeric n-pyridinealdazines, n = 2, 3 and 4
- Non-linear optical properties and absolute structure of metastable 4-methyl benzophenone
